A balloon is filled at `27^(@)C` and 1 atm pressure by `500 m^(3)` He. At-`3^(@)C` and 0.5 atm pressures, the volume of He-gas contained in balloon will be

Options

A. `700m^(3)`
B. `900m^(3)`
C. `1000m^(3)`
D. `500m^(3)`

Answer

b

Explanation

We have , `(P_(1)V_(1))/(T_(1))=(P_(2)V_(2))/(T_(2))`
or `V_(2)=(P_(1)V_(1)T_(2))/(P_(2)T_(1))`
`=(1xx500xx(273-3))/(0.5xx(273+27))=(1xx500xx270)/(0.5xx300)`
`V_(2)=900m^(3)`